Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 240, 848, 31, 883 i.e. 1 largest integer that divides all the numbers equally.
GCD of 240, 848, 31, 883 is 1
GCD(240, 848, 31, 883) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 240, 848, 31, 883 is 1
GCD(240, 848, 31, 883) = 1
Given Input numbers are 240, 848, 31, 883
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 883
List of positive integer divisors of 883 that divides 883 without a remainder.
1, 883
Greatest Common Divisior
We found the divisors of 240, 848, 31, 883 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 848, 31, 883 is 1.
Therefore, GCD of numbers 240, 848, 31, 883 is 1
Given Input Data is 240, 848, 31, 883
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 31 is 31
Prime Factorization of 883 is 883
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(240, 848) = 12720
GCD(240, 848) = ( 240 x 848 ) / 12720
GCD(240, 848) = 203520 / 12720
GCD(240, 848) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 31) = 496
GCD(16, 31) = ( 16 x 31 ) / 496
GCD(16, 31) = 496 / 496
GCD(16, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 883
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 883) = 883
GCD(1, 883) = ( 1 x 883 ) / 883
GCD(1, 883) = 883 / 883
GCD(1, 883) = 1
GCD of 240, 848, 31, 883 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 240, 848, 31, 883?
GCD of 240, 848, 31, 883 is 1
2. Where do I get the detailed procedure to find GCD of 240, 848, 31, 883?
You can find a detailed procedure to find GCD of 240, 848, 31, 883 on our page.
3. How to find GCD of 240, 848, 31, 883 on a calculator?
You can find the GCD of 240, 848, 31, 883 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.